If the resistance values in a Wheatstone bridge are all equal, what can be infer

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Question: If the resistance values in a Wheatstone bridge are all equal, what can be inferred about the bridge?

Options:

Correct Answer: It is always balanced.

Solution:

If all resistances are equal, the bridge is balanced, leading to zero current through the galvanometer.

If the resistance values in a Wheatstone bridge are all equal, what can be inferred about the bridge?

If the resistance values in a Wheatstone bridge are all equal, what can be inferred about the bridge?

Correct Answer: The bridge is balanced.

Step 1: Understand what a Wheatstone bridge is. It is a circuit used to measure unknown resistances.
Step 2: Identify the components of the Wheatstone bridge. It has four resistors and a galvanometer.
Step 3: Recognize that the four resistors are usually labeled as R1, R2, R3, and R4.
Step 4: If all resistors (R1, R2, R3, R4) are equal, it means R1 = R2 = R3 = R4.
Step 5: In a balanced Wheatstone bridge, the ratio of the resistances in one branch is equal to the ratio in the other branch.
Step 6: Since all resistances are equal, the ratios are equal (R1/R2 = R3/R4), which means the bridge is balanced.
Step 7: When the bridge is balanced, there is no potential difference across the galvanometer.
Step 8: Therefore, zero current flows through the galvanometer.

Wheatstone Bridge – A circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
Balanced Bridge – A condition where the ratio of resistances in one leg is equal to the ratio in the other leg, resulting in no current through the galvanometer.